Greatest Common Factor of 50/650, 36/243, 676/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/650, 36/243, 676/713

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 50/650,36/243,676/713

Given fractions are 50/650,36/243,676/713

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 50,36,676

Greatest Common Factor of Numerators i.e. GCF of 50,36,676 is 2 .

LCM of Denominators means LCM of 650,243,713 as per the given fractions.

LCM of 650,243,713 is 112618350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,36,676

GCF of Fractions 50/650,36/243,676/713 is 2/112618350

2 50, 36, 676
25, 18, 338

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 50,36,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,36,676 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 50,36,676 . The biggest common factor number is the GCF number.
So the greatest common factor 50,36,676 is 2.

Lets's calculate LCM of 650,243,713

Given numbers has no common factors except 1. So, there LCM is their product i.e 112618350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112618350

Therefore, the GCF of Fractions 50/650,36/243,676/713 is 2/112618350

Least Common Multiple of 650,243,713 with GCF Formula

Least Common Multiple of 650,243,713 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 650,243,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,243,713) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(650,243,713) x common factors =1 x 1 = 1

LCM(650,243,713) = ( 650 × 243 × 713 ) / 1

LCM(650,243,713) = 112618350 / 1

LCM(650,243,713) = 112618350


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 50/650, 36/243, 676/713

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 50/650, 36/243, 676/713?

Answer: GCF of Numerators as per given numbers 50/650, 36/243, 676/713 is

GCF of Numerators i.e. for 50,36,676 is 2

LCM of denominators i.e. for 650,243,713 is 112618350.

Thus, GCF of Fractions is 2/112618350.Finally, GCF of Fractions for 50/650, 36/243, 676/713 is 2/112618350.